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11742570945 = 3357247179211
BaseRepresentation
bin10101110111110100…
…10110100111000001
31010022100201102002000
422323322112213001
5143022044232240
65221112014213
7563664130500
oct127372264701
933270642060
1011742570945
114a86414396
122338691369
131151a20841
147d576a837
1548ad70430
hex2bbe969c1

11742570945 has 192 divisors, whose sum is σ = 25057382400. Its totient is φ = 5199707520.

The previous prime is 11742570937. The next prime is 11742570947. The reversal of 11742570945 is 54907524711.

11742570945 is a `hidden beast` number, since 1 + 1 + 74 + 2 + 570 + 9 + 4 + 5 = 666.

It is not a de Polignac number, because 11742570945 - 23 = 11742570937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11742570945.

It is not an unprimeable number, because it can be changed into a prime (11742570947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55651890 + ... + 55652100.

It is an arithmetic number, because the mean of its divisors is an integer number (130507200).

Almost surely, 211742570945 is an apocalyptic number.

11742570945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11742570945 is an abundant number, since it is smaller than the sum of its proper divisors (13314811455).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11742570945 is a wasteful number, since it uses less digits than its factorization.

11742570945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 11742570945 in words is "eleven billion, seven hundred forty-two million, five hundred seventy thousand, nine hundred forty-five".